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Finding the Third Proportional to 167,956 and 368,676

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Solution

The third proportional to 167,956 and 368,676 is: 809,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,956 : 368,676 = 368,676 : x
  2. Step 2: Convert to fraction form
    167,956/368,676 = 368,676/x
  3. Step 3: Cross multiply
    167,956x = 368,676 × 368,676
  4. Step 4: Simplify right side
    167,956x = 135,921,992,976
  5. Step 5: Solve for x
    x = 135,921,992,976/167,956
  6. Step 6: Final answer
    x = 809,271.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.